Remarks on the Dirac oscillator in $(2+1)$ dimensions

Abstract

In this work the Dirac oscillator in $(2+1)$ dimensions is considered. We solve the problem in polar coordinates and discuss the dependence of the energy spectrum on the spin parameter $s$ and angular momentum quantum number $m$. Contrary to earlier attempts, we show that the degeneracy of the energy spectrum can occur for all possible values of $sm$. In an additional analysis, we also show that an isolated bound state solution, excluded from Sturm-Liouville problem, exists.

5 pages, 2 figures, minor corrections, published version

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Cited by in corpus (2)

• Effects of spin on the dynamics of the 2D Dirac oscillator in the magnetic cosmic string background
• Quantum dynamics of a spin-1/2 charged particle in the presence of magnetic field with scalar and vector couplings